Topological Data Analysis

Introduction to the subject of Topological Data Analysis. We will explain the mathematical foundations of TDA (such as persistent homology) as well as its integration into machine learning.

• LaMME (Université d'Évry)

• Spring 2024-2025.

• Program and references

1. Introduction

1. • Rubén Martos

   • May 15, 2025

2. Inférence topologique I

   • Rubén Martos

   • May 22, 2025

3. Inférence topologique II

   • Rubén Martos

   • May 28, 2025

4. Représentations de la persistance pour l’apprentissage automatique

   • TBA

   • June 12 28, 2025

5. Aspects statistiques de l’homologie persistante

   • TBA

   • June 19, 2025

6. Clôture

   • TBA

   • June 26, 2025